What is the Greatest Common Factor of 6972 and 6992?
Greatest common factor (GCF) of 6972 and 6992 is 4.
GCF(6972,6992) = 4
We will now calculate the prime factors of 6972 and 6992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6972 and 6992.
How to find the GCF of 6972 and 6992?
We will first find the prime factorization of 6972 and 6992. After we will calculate the factors of 6972 and 6992 and find the biggest common factor number .
Step-1: Prime Factorization of 6972
Prime factors of 6972 are 2, 3, 7, 83. Prime factorization of 6972 in exponential form is:
6972 = 22 × 31 × 71 × 831
Step-2: Prime Factorization of 6992
Prime factors of 6992 are 2, 19, 23. Prime factorization of 6992 in exponential form is:
6992 = 24 × 191 × 231
Step-3: Factors of 6972
List of positive integer factors of 6972 that divides 6972 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486
Step-4: Factors of 6992
List of positive integer factors of 6992 that divides 6972 without a remainder.
1, 2, 4, 8, 16, 19, 23, 38, 46, 76, 92, 152, 184, 304, 368, 437, 874, 1748, 3496
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 6972 and 6992. The biggest common factor number is the GCF number.
So the greatest common factor 6972 and 6992 is 4.
Also check out the Least Common Multiple of 6972 and 6992
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